Have a personal or library account? Click to login
The Elzaki Transform Method for Addressing Cauchy Problems in Higher Order Nonlinear PDEs Cover

The Elzaki Transform Method for Addressing Cauchy Problems in Higher Order Nonlinear PDEs

Open Access
|Jun 2025

Figures & Tables

Fig. 1.

Graphical representation of the ETM solution to example 1 after only one iteration
Graphical representation of the ETM solution to example 1 after only one iteration

Fig. 2.

Graphical representation of the exact solution to example 2 via ETM after only one step
Graphical representation of the exact solution to example 2 via ETM after only one step

Fig. 3.

Graphical representation of the exact solution to example 3 via ETM after only one iteration
Graphical representation of the exact solution to example 3 via ETM after only one iteration

Fig. 4.

Graphical representation of the exact solution to example 4 via ETM after only two iterations
Graphical representation of the exact solution to example 4 via ETM after only two iterations

Fig. 5.

Graphical representation of the exact solution to example 5 via ETM after only one iteration
Graphical representation of the exact solution to example 5 via ETM after only one iteration

Relative errors concerning example 4

PointElzaki relative error
(0,0)0
(–2, –2)0
(2, 2)2.4040 × 10−16
(0.5, 1.8333)0
(0.5, –1.8333)1.7360 × 10−15
(1.5, 1.5)2.6424 × 10−16
(–1.5, –1.5)3.3171 × 10−16
(1.1667, 0.6667)1.8535 × 10−16
DOI: https://doi.org/10.2478/ama-2025-0028 | Journal eISSN: 2300-5319 | Journal ISSN: 1898-4088
Language: English
Page range: 225 - 231
Submitted on: Dec 7, 2024
Accepted on: Mar 3, 2025
Published on: Jun 6, 2025
Published by: Bialystok University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2025 Tarig M. ELZAKI, Mohamed Ali LATRACH, published by Bialystok University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.